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Finding the Fourth Proportional to 504.71, 757.37 and 180.03

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Solution

The fourth proportional to 504.71, 757.37 and 180.03 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.71 : 757.37 = 180.03 : x
  2. Step 2: Convert to fraction form
    504.71/757.37 = 180.03/x
  3. Step 3: Cross multiply
    504.71x = 757.37 × 180.03
  4. Step 4: Simplify right side
    504.71x = 136,348.42
  5. Step 5: Solve for x
    x = 136,348.42/504.71
  6. Step 6: Final answer
    x = 270.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.